Subordination theory for holomorphic mappings of several complex variables

Gabriela Kohr; Mirela Kohr-Ile

Displaying similar documents to “Subordination theory for holomorphic mappings of several complex variables”

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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On the order of holomorphic and $c$ -holomorphic functions.

Denkowski, Maciej P. (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Tensor fields and connections on holomorphic orbit spaces of finite groups.

Kriegl, Andreas, Losik, Mark, Michor, Peter W. (2003)

Journal of Lie Theory

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On proper discs in complex manifolds

Barbara Drinovec Drnovšek (2007)

Annales de l’institut Fourier

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Let $X$ be a complex manifold of dimension at least $2$ which has an exhaustion function whose Levi form has at each point at least $2$ strictly positive eigenvalues. We construct proper holomorphic discs in $X$ through any given point and in any given direction.

The fixed points of holomorphic maps on a convex domain

Do Duc Thai (1992)

Annales Polonici Mathematici

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We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in $ℂ^{n}$ then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.

A class of holomorphic functions defined using a differential operator.

Oros, Georgia Irina (2005)

General Mathematics

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Resultant and the Łojasiewicz exponent

J. Chądzyński, T. Krasiński (1995)

Annales Polonici Mathematici

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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.

Integral representations for some weighted classes of functions holomorphic in matrix domains

M. M. Djrbashian, A. H. Karapetyan (1991)

Annales Polonici Mathematici

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In 1945 the first author introduced the classes $H^{p} (α)$ , 1 ≤ p<∞, α > -1, of holomorphic functions in the unit disk with finite integral (1) ∬ |f(ζ)|p (1-|ζ|²)α dξ dη < ∞ (ζ=ξ+iη) and established the following integral formula for $f \in H^{p} (α)$ : (2) f(z) = (α+1)/π ∬ f(ζ) ((1-|ζ|²)α)/((1-zζ̅)2+α) dξdη, z∈ . We have established that the analogues of the integral representation (2) hold for holomorphic functions in Ω from the classes $L^{p} (Ω; {[K (w)]}^{α} d m (w))$ , where: 1) $Ω = w = (w ₁, . . ., w_{n}) \in ℂ^{n} : I m w ₁ > \sum_{k = 2}^{n} | w_{k} | ²$ , $K (w) = I m w ₁ - \sum_{k = 2}^{n} | w_{k} | ²$ ; 2) Ω is the matrix domain consisting of those...

Factorization of uniformly holomorphic functions

Luiza A. Moraes, Otilia W. Paques, M. Carmelina F. Zaine (1995)

Annales Polonici Mathematici

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Let E be a complex Hausdorff locally convex space such that the strong dual E’ of E is sequentially complete, let F be a closed linear subspace of E and let U be a uniformly open subset of E. We denote by Π: E → E/F the canonical quotient mapping. In §1 we study the factorization of uniformly holomorphic functions through π. In §2 we study F-quotients of uniform type and introduce the concept of envelope of uF-holomorphy of a connected uniformly open subset U of E. The main result states...

A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles

Do Duc Thai, Nguyen Le Huong (1993)

Annales Polonici Mathematici

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We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.

Quasiconformal deformations of holomorphic functions.

Krushkal, Samuel L. (2001)

Georgian Mathematical Journal

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On generalized differential equations in Banach spaces

Tadeusz Poreda

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CONTENTSIntroduction . . . . . . . . 5I. Fundamental problems for generalized differential equations at nonsingular points§1. Introduction . . . . . . . . 6§2. Cauchy problem at nonsingular points for generalized differential equations of the first order . . . . . . . . 6§3. Dependence of solution on parameters and initial conditions . . . . . . . . 8II. Total solutions of generalized linear differential equations§1. Introduction . . . . . . . . 11§2. Form of solutions of generalized...